On ideals of the group algebra of an infinite symmetric group over a field of characteristic \(p\).

DOI10.1134/S0001434612090106zbMath1270.20009OpenAlexW2067076962MaRDI QIDQ1929774

Alexander Kemer

Publication date: 9 January 2013

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434612090106

zbMATH Keywords

group algebrascharacteristic \(p\)symmetric elementsskew-symmetric elementsinfinite symmetric groupalgebras with polynomial identitymultilinear polynomialstensor squaresideals of group algebrasfinitely generated free associative algebras

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Ideals in associative algebras (16D25) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Representations of infinite symmetric groups (20C32)

Cites Work

• MULTILINEAR IDENTITIES OF THE ALGEBRAS OVER A FIELD OF CHARACTERISTIC P

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